What is the first step for finding Nash equilibria in this lesson?
The first step is to find the best responses for each player. You must consider, from each player's perspective, what their best response would be to each possible action of the other player.
Conditions
- The payoff table has been read correctly.
- You are evaluating one player at a time.
- You condition on each possible action of the other player separately.
Reasoning, step by step
- Fix one player's action.
- Compare the other player's payoffs across their available actions for that fixed action.
- Record the action that gives the highest payoff as the best response.
- Repeat this process for every possible action of the opponent and for both players.
Example
The board writes '1. Find Best Responses' and explains that for each player one must consider the best response to each possible action of the other player.
Common misconceptions
- Trying to guess the equilibrium outcome directly without systematically checking best responses.
- Forgetting to evaluate best responses for both players and for all possible opponent actions.
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Related questions
Find a method↗
To find a player's best response, fix the opponent's action and compare the payoffs the player receives for each of their own available actions. The action that yields the highest payoff is the best response to that specific opponent action.
Conditions: Requires knowing the opponent's action.; Requires comparing payoffs across available actions.; Applies to a specific cell column (for the row player) or row (for the column player).
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